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Finding the Third Proportional to 43,999 and 58,343

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Solution

The third proportional to 43,999 and 58,343 is: 77,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,999 : 58,343 = 58,343 : x
  2. Step 2: Convert to fraction form
    43,999/58,343 = 58,343/x
  3. Step 3: Cross multiply
    43,999x = 58,343 × 58,343
  4. Step 4: Simplify right side
    43,999x = 3,403,905,649
  5. Step 5: Solve for x
    x = 3,403,905,649/43,999
  6. Step 6: Final answer
    x = 77,363.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.